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Arrange the following in descending order 8/-16,0/16,-3/4,7/-8 |
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Answer» Answer: (i) 5 / 16, 13 / 24, 7 / 8 The given expression can be simplified as follows LCM of 16, 24, 8 = 2 × 2 × 2 × 2 × 3 = 48 Converting given expression into like fractions, we get 5 / 16 = (5 × 3) / (16 × 3) = 15 / 48 and 13 / 24 = (13 × 2) / (24 × 2) = 26 / 48 and 7 / 8 = (7 × 6) / (8 × 6) = 42 / 48 Hence, fractions in descending order are 7 / 8, 13 / 24, 5 / 16 (ii) 4 / 5, 7 / 15, 11 / 20, 3 / 4 The given expression can be simplified as follows LCM of 5, 15, 20, 4 = 4 × 5 × 3 = 60 Converting the given expression into like fractions, we get 4 / 5 = (4 ×12) / (5 × 12) =48 / 60 and 7 / 15 = (7 × 4) / (15 × 4) = 28 / 60 and 11 / 20 = (11 × 3) / (20 × 3) = 33 / 60 and 3 / 4 = (3 × 15) / (4 × 15) = 45 / 60 Hence, fractions in descending order are 4 / 5, 3 / 4, 11 / 20, 7 / 15 (iii) 5 / 7, 3 / 8, 9 / 11 The given expression can be simplified as follows LCM of 5, 3, 9 = 3 × 3 × 5 = 45 Converting the given expression into like fractions, we get 5 / 7 = (5 × 9) / (7 × 9) = 45 / 63 and 3 / 8 = (3 × 15) / (8 × 15) = 45 / 120 and 9 / 11 = (9 × 5) / (11 × 5) = 45 / 55 The fraction with the smallest denominator is the biggest fraction if the numerator is same Hence, fractions in descending order are 45 / 55, 45 / 63, 45 / 120 i.e 9 / 11, 5 / 7, 3 / 8 |
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